Number of Contestants by Score and Day

The same 20 contestants, on each of 3 days, answered 5 questions in order to win a prize. Each contestant received 1 point for each correct answer. The number of contestants receiving a given score on each day is shown in the table above.
What was the mean score of the contestants on Day 1 ?

In the figure above, tan B = . If BC = 15 and DA = 4, what is the length of DE ?

Several values of x and their corresponding values of y are shown in the table. A linear equation that represents the relationship shown in the table x = k, where k is a constant. What is the value of k ?

The equation (x + 6)² + (y + 3)² = 121 defines a circle in the xy-plane. What is the radius of the circle?

2 , 10 , 3 , 7 , 6
The mean of the list of numbers above is what fraction of the sum of the five numbers?

y = x² – 4x + 4
y = 4 – x
If the ordered pair (x, y) satisfies the system of equations above, what is one possible value of x ?

In a science classroom, when labs are performed, students are seated at lab tables. If the teacher assigns 2 students to each lab table, 4 additional lab tables will be needed to seat all of the students. If the teacher assigns 4 students to each lab table, 4 lab tables will not be used. How many students are there in the science class?

Point C is the centre of the circle above. What fraction of the area of the circle is the area of the shaded region?

Pure beeswax has a density of 0.555 ounce per cubic inch. An online company sells pure beeswax at a price of $8.00 per ounce. What is the selling price, in dollars per cubic inch, for pure beeswax purchased from this company? (Disregard the $ sign when gridding your answer. For example, if your answer is $1.37, grid 1.37)

A researcher surveyed 200 adults selected at random from the city of Aldley and 300 adults selected at random from the suburbs of Aldley. Each person surveyed was asked whether he or she owns a car. Some of the results are shown in the partially completed table below.

The researcher found that an adult surveyed in the suburbs of Aldley is twice as likely to own a car as an adult surveyed in the city of Aldley. Of the following, which could be the value of x ?

The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If a player answered 40 questions and obtained a score of 50, how many questions did the player answer correctly?

An equation is given in the form of ax + by + c=0. Here, 'a' and 'b' are real values and coefficients of x and y. Then, the equation is said to be a linear equation within the two variables. Examples of linear equations with two variables include x+4y = 3 and -x+5y = 2. Solution of a Linear Equation in 2 Variables: A pair of numbers (x, y), one for 'x' and the other for 'y,' that make the two sides of the equation equal. It is the solution of a linear equation in 2 variables. For instance, (0,4) is one of the answers if 2x + y = 4 since it satisfies the equation. A two-variable linear equation has infinite solutions.

ax - 4 (3 + 2x) = -12
In the equation above, a is a constant. For what value of a does the equation have infinitely many solution?

If n is a positive integer, which of the following is the equivalent to the expression above?

In the system of equation below, a and c are constant

If the system of equation has an infinite number of solutions (x , y), what is the value of a ?

The number y is 20% greater than the number x. The number z is 20% less than y. The number z is how many times x?

How many solutions does the equation  have?